Details

analyze73.0ms (5.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
40.6%	40.6%	59.3%	0.1%	0%	0%	0%	7
46%	45.3%	53.1%	0.1%	1.6%	0%	0%	8
65.3%	63.2%	33.6%	0.1%	3.1%	0%	0%	9
69.5%	66%	28.9%	0.1%	5.1%	0%	0%	10
80.9%	75.1%	17.8%	0.1%	7%	0%	0%	11
83.6%	76.6%	15%	0.1%	8.3%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample734.0ms (55%)

Results

684.0ms	8256×	body	256	valid
36.0ms	422×	body	256	infinite

Bogosity

preprocess59.0ms (4.4%)

Algorithm

2×	egg-herbie

Rules

1662×	`rational.json-simplify-19`
1442×	`rational.json-simplify-49`
1118×	`rational.json-simplify-40`
910×	`rational.json-simplify-46`
822×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	38	34
2	130	34
3	911	34
4	5443	34
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 x))
(fabs.f64 (/.f64 (-.f64 y x) x))
(fabs.f64 (/.f64 (-.f64 x y) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify70.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-2`
1324×	`rational.json-simplify-47`
1296×	`rational.json-simplify-44`
862×	`rational.json-simplify-19`
768×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	22	17
2	67	17
3	361	17
4	5227	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (/.f64 (-.f64 x y) y))

eval0.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fabs.f64 (/.f64 (-.f64 x y) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) y)

Compiler

Compiled 18 to 5 computations (72.2% saved)

series2.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(/.f64 (-.f64 x y) y)
0.0ms	x	@	-inf	(/.f64 (-.f64 x y) y)
0.0ms	x	@	inf	(/.f64 (-.f64 x y) y)
0.0ms	y	@	-inf	(/.f64 (-.f64 x y) y)
0.0ms	x	@	0	(/.f64 (-.f64 x y) y)

rewrite78.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`rational.json-1`
1238×	`rational.json-2`
1238×	`rational.json-4`
1238×	`rational.json-3`
1230×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	41	13
2	117	13
3	304	13
4	769	13
5	3209	13

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) y)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 2) (+.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 x y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 4) (/.f64 1 (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 4) (.f64 (/.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 4) (.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 y x) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 x y)) (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (-.f64 x y)) (/.f64 2 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 x y) (.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 (-.f64 x y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (.f64 (-.f64 x y) 1/2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (-.f64 x y) y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 8) (/.f64 1 (.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 8) (.f64 1/4 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 x y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 x y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 y) (.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) -2) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) -2) (/.f64 1 (.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) -2) (.f64 -1 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (/.f64 (-.f64 x y) 4) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (-.f64 x y) 8)) (.f64 1/8 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 y)) (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (/.f64 (-.f64 y x) 2) (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (-.f64 y x) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 y x) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y 1/2) (-.f64 x y)) (/.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 y) (.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (/.f64 (-.f64 x y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 x y)) (/.f64 y (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (-.f64 x y)) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y 4)) (.f64 (-.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 y) (-.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 1/2) (.f64 2 (/.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 x y) 1/2) (/.f64 2 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 y x) 4) (.f64 -1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 y) 1/4) (.f64 (-.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 2 y)) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 1/2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 (.f64 y 1/2) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 1 (-.f64 x y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 -1 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (.f64 y (/.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 y (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 x y) (.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1/2 y)) (.f64 (-.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1/2 y) (.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (.f64 y (/.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (-.f64 x y) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y 8)) (.f64 (-.f64 x y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 y -2)) (.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (.f64 y 4))) (.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (-.f64 y x)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 y x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x y) (/.f64 1/2 y)) (*.f64 (-.f64 x y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 x y) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x y) (*.f64 1/2 (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 2) (/.f64 1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 2) (+.f64 (/.f64 1 (*.f64 y 4)) (/.f64 1 (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 x y) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) (/.f64 2 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 4) (/.f64 1 (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 4) (*.f64 (/.f64 1 y) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 4) (*.f64 1/2 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 y x) (/.f64 -1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 x y)) (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 x y)) (/.f64 2 (*.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 x y) (*.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 (-.f64 x y) y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 (-.f64 x y) 1/2) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 x y) y) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 8) (/.f64 1 (*.f64 y 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) 8) (*.f64 1/4 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 x y) (/.f64 2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 y) (*.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) -2) (/.f64 -1/2 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) -2) (/.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x y) -2) (*.f64 -1 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 (-.f64 x y) 4) (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 (-.f64 x y) 8)) (*.f64 1/8 (/.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 y)) (*.f64 (-.f64 x y) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 1/2 y)) (*.f64 (-.f64 x y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/2 y) (*.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (*.f64 y (/.f64 2 (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 2 (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 x y) y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 8)) (*.f64 (-.f64 x y) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y -2)) (*.f64 (-.f64 x y) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (*.f64 y 4)) (/.f64 1 (*.f64 y 4))) (*.f64 (-.f64 x y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x y) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 y x) y))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 y (-.f64 y x)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))))))

simplify80.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-61`
1236×	`rational.json-simplify-47`
1226×	`rational.json-simplify-44`
870×	`rational.json-simplify-53`
820×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1975
1	372	1807
2	1029	1699
3	5407	1699

Stop Event

1×	node limit

Counts

103 → 103

Calls

Call 1

Inputs
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
-1
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 (-.f64 x y) y) 0)
(+.f64 0 (/.f64 (-.f64 x y) y))
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(-.f64 (/.f64 (-.f64 x y) y) 0)
(-.f64 0 (/.f64 (-.f64 y x) y))
(*.f64 y (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(*.f64 (-.f64 x y) (/.f64 1 y))
(.f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 (-.f64 x y) y) 1)
(*.f64 1 (/.f64 (-.f64 x y) y))
(.f64 (.f64 (-.f64 x y) 2) (/.f64 1/2 y))
(.f64 (.f64 (-.f64 x y) 2) (+.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (.f64 y 4))))
(.f64 2 (.f64 (-.f64 x y) (/.f64 1/2 y)))
(.f64 (.f64 (-.f64 x y) (/.f64 2 y)) 1/2)
(.f64 (.f64 (-.f64 x y) 4) (/.f64 1 (*.f64 y 4)))
(.f64 (.f64 (-.f64 x y) 4) (*.f64 (/.f64 1 y) 1/4))
(.f64 (.f64 (-.f64 x y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(*.f64 (/.f64 1 y) (-.f64 x y))
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (-.f64 x y))))
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(*.f64 (/.f64 y (-.f64 x y)) (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(.f64 (/.f64 y (-.f64 x y)) (/.f64 2 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))
(*.f64 -1 (/.f64 (-.f64 y x) y))
(.f64 (.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))
(.f64 (.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(.f64 4 (/.f64 (-.f64 x y) (.f64 y 4)))
(*.f64 4 (/.f64 (/.f64 (-.f64 x y) y) 4))
(.f64 4 (.f64 (*.f64 (-.f64 x y) 1/2) (/.f64 1/2 y)))
(.f64 (.f64 (/.f64 (-.f64 x y) y) 4) 1/4)
(.f64 (.f64 (-.f64 x y) 8) (/.f64 1 (*.f64 y 8)))
(.f64 (.f64 (-.f64 x y) 8) (*.f64 1/4 (/.f64 1/2 y)))
(.f64 1/2 (.f64 (-.f64 x y) (/.f64 2 y)))
(*.f64 (/.f64 1 (-.f64 x y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 x y) 2))
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(*.f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
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(.f64 (.f64 (-.f64 y x) 4) (*.f64 -1/2 (/.f64 1/2 y)))
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(.f64 (.f64 1/2 (/.f64 2 y)) (-.f64 x y))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))
(*.f64 (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 1/2 (-.f64 x y)))
(.f64 (/.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 (.f64 y 1/2) (-.f64 x y)))
(*.f64 (/.f64 1 (/.f64 1 (-.f64 x y))) (/.f64 1 y))
(*.f64 (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 1 (-.f64 x y)))
(*.f64 (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 -1 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) y)
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(.f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 y (-.f64 x y)))
(.f64 (/.f64 (-.f64 x y) (.f64 y 4)) 4)
(.f64 (.f64 1/2 (/.f64 1/2 y)) (*.f64 (-.f64 x y) 4))
(.f64 (/.f64 -1/2 y) (.f64 (-.f64 x y) -2))
(.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (.f64 y (/.f64 2 (-.f64 x y))))
(.f64 (/.f64 y (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) 4) 4)
(.f64 (/.f64 1 (.f64 y 8)) (*.f64 (-.f64 x y) 8))
(.f64 (/.f64 1 (.f64 y -2)) (*.f64 (-.f64 x y) -2))
(.f64 (+.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (.f64 y 4))) (.f64 (-.f64 x y) 2))
(pow.f64 (/.f64 (-.f64 x y) y) 1)
(neg.f64 (/.f64 (-.f64 y x) y))
(neg.f64 (/.f64 (/.f64 y (-.f64 y x)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))

Outputs
-1
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
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(-.f64 (/.f64 x y) 1)
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(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(/.f64 x y)
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
(+.f64 (/.f64 x y) -1)
(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
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(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
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(+.f64 -1 (/.f64 x y))
-1
(-.f64 (/.f64 x y) 1)
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(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
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(+.f64 -1 (/.f64 x y))
(-.f64 (/.f64 x y) 1)
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-1
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(-.f64 (/.f64 x y) 1)
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(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(-.f64 (/.f64 (-.f64 x y) y) 0)
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(*.f64 y (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
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(*.f64 (/.f64 (-.f64 x y) y) 1)
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(*.f64 1 (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 (-.f64 x y) 2) (/.f64 1/2 y))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (.f64 (-.f64 x y) 2) (+.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (.f64 y 4))))
(/.f64 (-.f64 x y) y)
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(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
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(.f64 (.f64 (-.f64 x y) (/.f64 2 y)) 1/2)
(.f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))
(.f64 (.f64 (-.f64 x y) 4) (/.f64 1 (*.f64 y 4)))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 (-.f64 x y) 4) (*.f64 (/.f64 1 y) 1/4))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 (-.f64 x y) 4) (*.f64 1/2 (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(*.f64 (/.f64 1 y) (-.f64 x y))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(*.f64 (-.f64 y x) (/.f64 -1 y))
(*.f64 (/.f64 y (-.f64 x y)) (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 y (-.f64 x y)) (/.f64 2 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))
(/.f64 (-.f64 x y) y)
(*.f64 -1 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1 (*.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 y (/.f64 2 (-.f64 x y))) (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 4 (/.f64 (-.f64 x y) (.f64 y 4)))
(/.f64 (-.f64 x y) y)
(*.f64 4 (/.f64 (/.f64 (-.f64 x y) y) 4))
(/.f64 (-.f64 x y) y)
(.f64 4 (.f64 (*.f64 (-.f64 x y) 1/2) (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (.f64 (/.f64 (-.f64 x y) y) 4) 1/4)
(/.f64 (-.f64 x y) y)
(.f64 (.f64 (-.f64 x y) 8) (/.f64 1 (*.f64 y 8)))
(.f64 (-.f64 x y) (.f64 8 (/.f64 (/.f64 1 y) 8)))
(.f64 (-.f64 x y) (.f64 8 (/.f64 1/8 y)))
(.f64 (.f64 (-.f64 x y) 8) (*.f64 1/4 (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 1/2 (.f64 (-.f64 x y) (/.f64 2 y)))
(.f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 1 (-.f64 x y)) (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 1/2 y) (.f64 (-.f64 x y) 2))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (.f64 (-.f64 x y) -2) (/.f64 -1/2 y))
(.f64 (-.f64 x y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (/.f64 -1/2 y) (.f64 2 (-.f64 y x)))
(.f64 (.f64 (-.f64 x y) -2) (/.f64 1 (*.f64 y -2)))
(.f64 (-.f64 x y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (/.f64 -1/2 y) (.f64 2 (-.f64 y x)))
(.f64 (.f64 (-.f64 x y) -2) (*.f64 -1 (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 8 (.f64 (/.f64 (-.f64 x y) 4) (/.f64 1/2 y)))
(.f64 8 (.f64 (/.f64 1/2 y) (/.f64 (-.f64 x y) 4)))
(.f64 (/.f64 1/2 y) (.f64 8 (/.f64 (-.f64 x y) 4)))
(.f64 (/.f64 1/2 y) (.f64 8 (/.f64 (-.f64 y x) -4)))
(.f64 (.f64 2 (.f64 (-.f64 x y) 8)) (.f64 1/8 (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (.f64 2 (/.f64 1 y)) (*.f64 (-.f64 x y) 1/2))
(/.f64 (-.f64 x y) y)
(.f64 -2 (.f64 (/.f64 (-.f64 y x) 2) (/.f64 1 y)))
(.f64 (/.f64 (-.f64 y x) 2) (.f64 (/.f64 1 y) -2))
(.f64 (/.f64 1 y) (.f64 (/.f64 (-.f64 y x) 2) -2))
(.f64 -2 (/.f64 (-.f64 y x) (.f64 2 y)))
(*.f64 -2 (/.f64 (-.f64 y x) (+.f64 y y)))
(.f64 -2 (.f64 (-.f64 y x) (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(*.f64 (/.f64 (-.f64 y x) y) -1)
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 (.f64 y 1/2) (-.f64 x y)) (/.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 1/2 (-.f64 x y)) (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) 2)
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (/.f64 2 y) (.f64 (-.f64 x y) 1/2))
(.f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))
(.f64 1/4 (.f64 (/.f64 (-.f64 x y) y) 4))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 2 (-.f64 x y)) (/.f64 y (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))))
(*.f64 (/.f64 2 (-.f64 x y)) (/.f64 (/.f64 y 2) (/.f64 (/.f64 y (-.f64 x y)) (/.f64 (-.f64 x y) y))))
(.f64 (/.f64 2 (-.f64 x y)) (/.f64 (.f64 (-.f64 x y) (/.f64 (-.f64 x y) y)) (/.f64 y (/.f64 y 2))))
(.f64 (/.f64 -2 (-.f64 y x)) (/.f64 (.f64 (-.f64 x y) (/.f64 (-.f64 x y) y)) 2))
(.f64 (/.f64 (-.f64 y x) (.f64 2 (/.f64 y (-.f64 y x)))) (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 -1 (-.f64 x y)) (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 1 (.f64 y 4)) (*.f64 (-.f64 x y) 4))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 -1 y) (-.f64 y x))
(*.f64 (-.f64 y x) (/.f64 -1 y))
(.f64 (.f64 (-.f64 x y) 1/2) (*.f64 2 (/.f64 1 y)))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 (-.f64 x y) 1/2) (/.f64 2 y))
(.f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))
(.f64 (.f64 (-.f64 y x) 4) (*.f64 -1/2 (/.f64 1/2 y)))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (.f64 (/.f64 1 y) 1/4) (*.f64 (-.f64 x y) 4))
(/.f64 (-.f64 x y) y)
(.f64 (.f64 1/2 (/.f64 2 y)) (-.f64 x y))
(.f64 (-.f64 x y) (.f64 1/2 (/.f64 2 y)))
(*.f64 (/.f64 1 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 (+.f64 y y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 1/2 (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 (.f64 y 1/2) (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 x y))) (/.f64 1 y))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 y (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 1 (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 (neg.f64 y) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (/.f64 -1 (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(*.f64 (/.f64 (/.f64 1 (-.f64 x y)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) y)
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 1 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (*.f64 y (/.f64 2 (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 2 (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 y (-.f64 x y)))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 (-.f64 x y) (.f64 y 4)) 4)
(/.f64 (-.f64 x y) y)
(.f64 (.f64 1/2 (/.f64 1/2 y)) (*.f64 (-.f64 x y) 4))
(+.f64 (.f64 (-.f64 x y) (/.f64 1/2 y)) (.f64 (-.f64 x y) (/.f64 1/2 y)))
(*.f64 (-.f64 x y) (+.f64 (/.f64 1/2 y) (/.f64 1/2 y)))
(.f64 (-.f64 x y) (.f64 (/.f64 1/2 y) 2))
(.f64 (-.f64 y x) (.f64 (/.f64 1/2 y) -2))
(.f64 (/.f64 -1/2 y) (.f64 (-.f64 x y) -2))
(.f64 (-.f64 x y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (/.f64 -1/2 y) (.f64 2 (-.f64 y x)))
(.f64 (/.f64 1/2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))) (.f64 y (/.f64 2 (-.f64 x y))))
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 y (.f64 2 (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y)))) (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 2 (-.f64 x y)) (/.f64 (/.f64 y 2) (/.f64 (/.f64 y (-.f64 x y)) (/.f64 (-.f64 x y) y))))
(.f64 (/.f64 2 (-.f64 x y)) (/.f64 (.f64 (-.f64 x y) (/.f64 (-.f64 x y) y)) (/.f64 y (/.f64 y 2))))
(.f64 (/.f64 -2 (-.f64 y x)) (/.f64 (.f64 (-.f64 x y) (/.f64 (-.f64 x y) y)) 2))
(.f64 (/.f64 (-.f64 y x) (.f64 2 (/.f64 y (-.f64 y x)))) (/.f64 2 (-.f64 x y)))
(*.f64 (/.f64 (/.f64 (-.f64 x y) y) 4) 4)
(/.f64 (-.f64 x y) y)
(.f64 (/.f64 1 (.f64 y 8)) (*.f64 (-.f64 x y) 8))
(.f64 (-.f64 x y) (.f64 8 (/.f64 (/.f64 1 y) 8)))
(.f64 (-.f64 x y) (.f64 8 (/.f64 1/8 y)))
(.f64 (/.f64 1 (.f64 y -2)) (*.f64 (-.f64 x y) -2))
(.f64 (-.f64 x y) (.f64 -2 (/.f64 -1/2 y)))
(.f64 (/.f64 -1/2 y) (.f64 2 (-.f64 y x)))
(.f64 (+.f64 (/.f64 1 (.f64 y 4)) (/.f64 1 (.f64 y 4))) (.f64 (-.f64 x y) 2))
(/.f64 (-.f64 x y) y)
(pow.f64 (/.f64 (-.f64 x y) y) 1)
(/.f64 (-.f64 x y) y)
(neg.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 x y) y)
(neg.f64 (/.f64 (/.f64 y (-.f64 y x)) (/.f64 (/.f64 y (/.f64 (-.f64 x y) y)) (-.f64 x y))))
(/.f64 (-.f64 x y) y)

eval19.0ms (1.4%)

Compiler: Compiled 1332 to 635 computations (52.3% saved)

prune14.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	3	104

Error

Counts

104 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.7b	(fabs.f64 (/.f64 x y))
▶	0b	(fabs.f64 (-.f64 (/.f64 x y) 1))
▶	26.1b	(fabs.f64 -1)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize2.0ms (0.2%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize7.0ms (0.6%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

localize5.0ms (0.4%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.7b	(fabs.f64 (/.f64 x y))
✓	0b	(fabs.f64 (-.f64 (/.f64 x y) 1))
✓	26.1b	(fabs.f64 -1)

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes11.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

Inputs
(fabs.f64 -1)
(fabs.f64 (/.f64 x y))
(fabs.f64 (-.f64 (/.f64 x y) 1))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Outputs
(fabs.f64 (-.f64 (/.f64 x y) 1))

Calls

3 calls:

4.0ms	y
4.0ms	x
2.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes25.0ms (1.9%)

Accuracy

Total -45.7b remaining (-307.3%)

Threshold costs -45.7b (-307.3%)

Counts

2 → 3

Calls

Call 1

Inputs
(fabs.f64 -1)
(fabs.f64 (/.f64 x y))

Outputs
(fabs.f64 (/.f64 x y))
(fabs.f64 -1)
(fabs.f64 (/.f64 x y))

Calls

2 calls:

15.0ms	y
9.0ms	x

Results

Error	Segments	Branch
14.9b	3	`x`
16.5b	5	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch27.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	5.999463138681351e+25	1.395315739131723e+31
13.0ms	-3.752484203599628e+77	-2.314302624085785e+75

Results

22.0ms	256×	body	256	valid
2.0ms	20×	body	256	infinite

Compiler

Compiled 206 to 170 computations (17.5% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	59

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(fabs.f64 (-.f64 (/.f64 x y) 1))

(if (<=.f64 x -44999999999999997296891919538775304886131929311912030872645211558663616987136) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 102000000000000008502156197888) (fabs.f64 -1) (fabs.f64 (/.f64 x y))))

(fabs.f64 -1)

Outputs
(fabs.f64 (-.f64 (/.f64 x y) 1))
(if (<=.f64 x -44999999999999997296891919538775304886131929311912030872645211558663616987136) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 102000000000000008502156197888) (fabs.f64 -1) (fabs.f64 (/.f64 x y))))
(if (<=.f64 x -44999999999999997296891919538775304886131929311912030872645211558663616987136) (fabs.f64 (/.f64 x y)) (if (<=.f64 x 102000000000000008502156197888) 1 (fabs.f64 (/.f64 x y))))
(fabs.f64 -1)
1

Compiler

Compiled 30 to 20 computations (33.3% saved)

soundness96.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-2`
1324×	`rational.json-simplify-47`
1296×	`rational.json-simplify-44`
862×	`rational.json-simplify-19`
768×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	22	17
2	67	17
3	361	17
4	5227	17

Stop Event

1×	node limit

Compiler

Compiled 15 to 8 computations (46.7% saved)

end21.0ms (1.6%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

Details

analyze73.0ms (5.5%)

sample734.0ms (55%)

preprocess59.0ms (4.4%)

simplify70.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series2.0ms (0.2%)

rewrite78.0ms (5.8%)

simplify80.0ms (6%)

eval19.0ms (1.4%)

prune14.0ms (1%)

localize2.0ms (0.2%)

localize7.0ms (0.6%)

localize5.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes11.0ms (0.9%)

regimes25.0ms (1.9%)

bsearch27.0ms (2.1%)

simplify2.0ms (0.2%)

soundness96.0ms (7.2%)

end21.0ms (1.6%)

Profiling